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96 ANALYTICAL MECHANICS cos ei = cos €2 = 1*, sin ei = ei, sin €2 = Q. Making these substitutions in the expression for/r, we obtain /f = Umit rfo'Q tV.(«l + *)1 i=o L < J d2r where i9 is the angle r makes with the xaxis. YI /VTxyx (xiv> x FIG. 58. By similar reasoning we obtain the following expressions r the transverse acceleration, that is, the component of te acceleration along a perpendicular to the radius vector. * See Appendix AVI